A. Hinrichs

Most-cited papers

The curse of dimensionality for numerical integration of smooth functions
A. Hinrichs, E. Novak, Mario Ullrich, H. Wozniakowski
2012Mathematics of Computation84 citations Open access
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Covering numbers, Vapnik-ervonenkis classes and bounds for the star-discrepancy
A. Hinrichs
2004Journal of Complexity75 citations Open access
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Johnson‐Lindenstrauss lemma for circulant matrices* *
A. Hinrichs, J. Vybíral
2010Random Struct. Algorithms70 citations Open access
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The curse of dimensionality for the class of monotone functions and for the class of convex functions
A. Hinrichs, E. Novak, H. Wozniakowski
2010Journal of Approximation Theory54 citations Open access
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Discontinuous information in the worst case and randomized settings
A. Hinrichs, E. Novak, H. Wozniakowski
201144 citations Open access
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Expected Frobenius numbers
I. Aliev, M. Henk, A. Hinrichs
2009Journal of Combinatorial Theory41 citations Open access
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On the size of the largest empty box amidst a point set
C. Aistleitner, A. Hinrichs, Daniel Rudolf
2015Discrete Applied Mathematics40 citations Open access
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Linear information versus function evaluations for L2-approximation
A. Hinrichs, E. Novak, J. Vybíral
2008Journal of Approximation Theory39 citations Open access
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Optimal quasi-Monte Carlo rules on order 2 digital nets for the numerical integration of multivariate periodic functions
A. Hinrichs, Lev Markhasin, Jens Oettershagen, T. Ullrich
2015Numerische Mathematik38 citations Open access
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The curse of dimensionality for numerical integration on general domains
A. Hinrichs, J. Prochno, Mario Ullrich
2018Journal of Complexity36 citations Open access
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Random sections of ellipsoids and the power of random information
A. Hinrichs, David Krieg, E. Novak, J. Prochno +1 more
2019Transactions of the American Mathematical Society35 citations Open access
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Optimal Point Sets for Quasi-Monte Carlo Integration of Bivariate Periodic Functions with Bounded Mixed Derivatives
A. Hinrichs, Jens Oettershagen
2014Monte Carlo and Quasi-Monte Carlo Methods35 citations Open access
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Discrepancy of Hammersley points in Besov spaces of dominating mixed smoothness
A. Hinrichs
201035 citations
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New sets with large Borsuk numbers
A. Hinrichs, C. Richter
2003Discrete Mathematics33 citations Open access
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Proof techniques in quasi-Monte Carlo theory
Josef Dick, A. Hinrichs, F. Pillichshammer
2014Journal of Complexity31 citations Open access
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On a multi-dimensional Poissonian pair correlation concept and uniform distribution
A. Hinrichs, Lisa Kaltenböck, G. Larcher, Wolfgang Stockinger +1 more
2018Monatshefte für Mathematik (Print)30 citations Open access
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On the power of random information
A. Hinrichs, David Krieg, E. Novak, J. Prochno +1 more
201929 citations
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The curse of dimensionality for numerical integration of smooth functions II
A. Hinrichs, E. Novak, Mario Ullrich, H. Wozniakowski
2013Journal of Complexity29 citations Open access
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Entropy numbers of embeddings of Schatten classes
A. Hinrichs, J. Prochno, J. Vybíral
201627 citations Open access
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p ‐nuclear operators in the sense of Grothendieck
A. Hinrichs, A. Pietsch
201025 citations
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Optimal importance sampling for the approximation of integrals
A. Hinrichs
2010Journal of Complexity25 citations Open access
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On s‐numbers and Weyl inequalities of operators in Banach spaces
B. Carl, A. Hinrichs
200922 citations
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Embeddings of weighted Hilbert spaces and applications to multivariate and infinite-dimensional integration
Michael Gnewuch, Mario Hefter, A. Hinrichs, K. Ritter
2016Journal of Approximation Theory21 citations Open access
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Tractability properties of the weighted star discrepancy
A. Hinrichs, F. Pillichshammer, W. Schmid
2008Journal of Complexity21 citations Open access
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On weak tractability of the Clenshaw-Curtis Smolyak algorithm
A. Hinrichs, E. Novak, Mario Ullrich
2013Journal of Approximation Theory20 citations Open access
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Discrepancy, Integration and Tractability
A. Hinrichs
201320 citations
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On positive positive-definite functions and Bochner's Theorem
A. Hinrichs, J. Vybíral
2011Journal of Complexity20 citations Open access
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Lower Bounds for the Error of Quadrature Formulas for Hilbert Spaces
A. Hinrichs, David Krieg, E. Novak, Jan Vybíral
2020Journal of Complexity19 citations Open access
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Extreme and periodic $L_2$ discrepancy of plane point sets
A. Hinrichs, Ralph Kritzinger, F. Pillichshammer
2020Acta Arithmetica19 citations Open access
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Asymptotic behavior of average Lp-discrepancies
A. Hinrichs, Heidi Weyhausen
2012Journal of Complexity19 citations Open access
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On lower bounds for the L2-discrepancy
A. Hinrichs, Lev Markhasin
2010Journal of Complexity19 citations Open access
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Cubature formulas for symmetric measures in higher dimensions with few points
A. Hinrichs, E. Novak
2005Mathematics of Computation18 citations Open access
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Product rules are optimal for numerical integration in classical smoothness spaces
A. Hinrichs, E. Novak, Mario Ullrich, H. Wozniakowski
2016Journal of Complexity17 citations Open access
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Carl's inequality for quasi-Banach spaces
A. Hinrichs, A. Kolleck, J. Vybíral
201517 citations Open access
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Equivalence of anchored and ANOVA spaces via interpolation
A. Hinrichs, Jan Schneider
2015Journal of Complexity17 citations Open access
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Lower bounds for integration and recovery in L2
A. Hinrichs, David Krieg, E. Novak, J. Vybíral
2021arXiv.org16 citations
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A note on the periodic L2-discrepancy of Korobov's p-sets
Josef Dick, A. Hinrichs, F. Pillichshammer
2020Archiv der Mathematik15 citations Open access
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Stuttgart Fachbereich Mathematik Optimal quasi-Monte Carlo rules on higher order digital nets for the numerical integration of multivariate periodic functions
A. Hinrichs, Lev Markhasin, Jens Oettershagen, T. Ullrich
201515 citations
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Expected dispersion of uniformly distributed points
A. Hinrichs, David Krieg, R. Kunsch, Daniel Rudolf
2019Journal of Complexity14 citations Open access
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Optimal order of $L_p$-discrepancy of digit shifted Hammersley point sets in dimension 2
A. Hinrichs, Ralph Kritzinger, F. Pillichshammer
201414 citations
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The knaster problem: More counterexamples
A. Hinrichs, C. Richter
200514 citations
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On the Expectation of Operator Norms of Random Matrices
O. Gu'edon, A. Hinrichs, A. Litvak, J. Prochno
201613 citations Open access
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Optimal Weyl inequality in Banach spaces
A. Hinrichs
200513 citations Open access
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Embeddings for infinite-dimensional integration and L2-approximation with increasing smoothness
Michael Gnewuch, Mario Hefter, A. Hinrichs, K. Ritter +1 more
2018Journal of Complexity12 citations Open access
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Random sections of $\ell_p$-ellipsoids, optimal recovery and Gelfand numbers of diagonal operators
A. Hinrichs, J. Prochno, Mathias Sonnleitner
2021Journal of Approximation Theory11 citations Open access
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Optimal Lp-discrepancy bounds for second order digital sequences
Josef Dick, A. Hinrichs, Lev Markhasin, F. Pillichshammer
2016Israel Journal of Mathematics11 citations Open access
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A Tractability Result for the Clenshaw Curtis Smolyak Algorithm
A. Hinrichs, Erich Novak, Mario Ullrich
201311 citations
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Entropy numbers of convex hulls in Banach spaces and applications
B. Carl, A. Hinrichs, Philipp Rudolph
2012Journal of Complexity11 citations Open access
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Optimal Weyl-type Inequalities for Operators in Banach Spaces
B. Carl, A. Hinrichs
200711 citations
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Gelfand numbers of embeddings of Schatten classes
A. Hinrichs, J. Prochno, Jan Vybíral
2020Mathematische Annalen10 citations Open access
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